$4$ buses run between Bhopal and Gwalior. If a man goes from Gwalior to Bhopal by a bus and comes back to Gwalior by a different bus,then the total number of possible ways is:

The number of $4$ letter words (with or without meaning) that can be formed from the eleven letters of the word $'EXAMINATION'$ is

In how many ways can a football team of $11$ players be selected from $15$ players? In how many cases can a particular player be included?

There are $8$ students appearing in an examination of which $3$ have to appear in a Mathematics paper and the remaining $5$ in different subjects. In how many ways can they be made to sit in a row if the candidates in Mathematics cannot sit next to each other?

How many $3$-digit numbers are there,with distinct digits,where each digit is odd?

The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines is